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Finding the Fourth Proportional to 7,181.02, 9,910.47 and 4,037.50

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Solution

The fourth proportional to 7,181.02, 9,910.47 and 4,037.50 is: 5,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.02 : 9,910.47 = 4,037.50 : x
  2. Step 2: Convert to fraction form
    7,181.02/9,910.47 = 4,037.50/x
  3. Step 3: Cross multiply
    7,181.02x = 9,910.47 × 4,037.50
  4. Step 4: Simplify right side
    7,181.02x = 40,013,522.63
  5. Step 5: Solve for x
    x = 40,013,522.63/7,181.02
  6. Step 6: Final answer
    x = 5,572.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.